18 citations · 53 across the 16 of their papers we have counts for
21 papers
Cohomology and congruences
Masha Vlasenko
These are notes of my lecture courses given in the summer of 2024 in the School on Number Theory and Physics at ICTP in Trieste and in the 27th Brazilian Algebra Meeting at IME-USP…
Frobenius structure and -adic zeta values
Frits Beukers, Masha Vlasenko
For differential operators of Calabi-Yau type, Candelas, de la Ossa and van Straten conjecture the appearance of -adic zeta values in the matrix entries of their -adic Froben…
Frobenius constants for families of elliptic curves
Bidisha Roy, Masha Vlasenko
The paper deals with a class of periods, Frobenius constants, which describe monodromy of Frobenius solutions of differential equations arising in algebraic geometry. We represent…
On -integrality of instanton numbers
Frits Beukers, Masha Vlasenko
We show integrality of instanton numbers in several key examples of mirror symmetry. Our methods are essentially elementary, they are based on our previous work in the series of pa…
Dwork crystals III: from excellent Frobenius lifts towards supercongruences
Frits Beukers, Masha Vlasenko
This paper is a continuation of our Dwork crystals series. Here we exploit the Cartier operation to prove supercongruences for expansion coefficients of rational functions. In the…
Hodge structures and differential operators
Masha Vlasenko
This text can be considered as a non-technical and arithmetically motivated introduction to the definition of the limiting mixed Hodge structure. We state several assertions in ter…